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Analysis of domain decomposition for non symmetric problems: Application to the Navier-Stokes equations. (English) Zbl 0739.76056

Summary: A Dirichlet problem with a general second order and nonsymmetric linear operator is solved via a domain decomposition method without overlapping existence and uniqueness of solution for the equivalent decomposition\(\backslash\)coordination problem is proved, using Steklov- Poincaré operator. A symmetrization technique is applied to obtain a conjugate gradient algorithm for computation of solution. Application to a linearized form of the Navier-Stokes equations is explained.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76D05 Navier-Stokes equations for incompressible viscous fluids
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
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References:

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